First slide

Trigonometric transformations

Question

$2 (1 - 2 \sin^{2} 4 θ) \sin 3 θ =$

Easy

A

$c o s 5 θ - c o s 11 θ$
B

$c o s 5 θ + c o s 11 θ$
C

$\sin 11 θ - \sin 5 θ$
D

1

Solution

$2 (1 - 2 \sin^{2} 4 θ) \sin 3 θ =$ $2 \cos 8 θ \sin 3 θ$
= $\sin 11 θ - \sin 5 θ$

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